Gary Cornell

The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serre's conjectures, Galois deformations, universal deformation rings, Hecke algebras, complete intersections, and more, as the reader is led step-by-step through Wiles' proof. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by looking both forward and backward in time, reflecting on the history of the problem, while placing Wiles' theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this volume to be an indispensable resource for mastering the epoch-making proof of Fermat's Last Theorem.

In Delphi Nuts & Bolts: For Experienced Programmers, Second Edition, you won't get hung up with remedial information or lengthy tutorials. This guide offers maximum coverage of the new 32-bit version of Borland's popular visual development tool without stinting on the 16-bit version. In record time, you'll be able to learn Delphi's object Pascal language in both 16-bit and 32-bit, find out how to make user-friendly applications using components and event procedures, develop applications using the new user interface features in Windows 95, take advantage of Delphi 32's new OLE-compliant controls and new language features, and program like an expert in both versions of Delphi - no matter what languages you're coming from.

With Core Java, experienced programmers can get to the heart of Java quickly and easily. You'll start with the fundamentals and move quickly to the most advanced topics. Core Java provides comprehensive coverage of all Java features including numerous tips and tricks as well as Visual Basic and C/C++ notes that compare and contrast features of Java to those languages. Core Java introduces the new Java development environments for both Solaris, and Windows 95. It presents detailed coverage of Java's AWT system for graphics programming and interface design. Then it walks you through the construction, and debugging of numerous real-world Java programs.